What is the greatest common factor of 23 and 42?

Answer 1

Since 23 is a Prime number, its only factors are 1 and itself. Since 42 is not divisible by 23, the greatest common factor is 1.

Another way to determine the greatest common factor is to find all the factors of the numbers and compare them.

The factors of 23 are 1 and 23.

The factors of 42 are 1, 2, 3, 6, 7, 14, 21, and 42.

The only common factor is 1. Therefore, the greatest common factor is 1, which means the numbers are relatively prime.

The greatest common factor can also be calculated by identifying the common prime factors and multiplying them together.

The prime factor of 23 is 23.

The prime factors of 42 are 2, 3, and 7.

There are no prime factors in common, so the numbers are relatively prime, meaning the greatest common factor is 1.